Is trapezoid abdc the result of a dilation of trapezoid mnpq by a scale factor of 2/5 ? why or why not? yes, because ab and cd are each 2/5 the lengths mn and qp. yes, because sides ab and cd are parallel to sides mn and qp. no, because ab is 2/5 the length mn but cd is 1/3 the length qp. no, because sides ab and cd have different slopes from sides mn and qp.

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Aplane is taking off from bangladesh headed to new york city. at the same time, a plane from new york city is headed to bangladesh is also taking off. the plane bound to new york city is traveling at 600 mph, while the plane traveling to bangladesh is traveling at 400 mph. how far from new york city will the two planes meet if the distance between new york city and bangladesh is 8,000 miles?

In the xy-plane, if the parabola with equation passes through the point (-1, -1), which of the following must be true?